Here \(\rho _s\)  is the closet approach for light ray and the prime is
derivative with respect to \(\rho _s\) . The analytical solution for
the above equation is very complicated, so we calculated the
equation (REF ) numerically. Variations of r photon sphere
radius are plotted with respect to the charge \(\rho _q\) , the scale of
extra dimension \(\rho _0\)  and Gödel parameter in the figure 2.
Also figure 3 shows variations of impact parameter in it's minimum
value (at radius of photon sphere). These figures show that by
adding the charge to the black hole, the behavior of the photon
sphere radius
and minimum of impact parameter is different
compare with the neutral black hole [1]}. As \(\rho _0\) 
approaches to it's minimum values the radius of photon sphere and
impact parameter become divergent.
